Question

What is the linear function equation represented by the graph?

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f(x)=

Answer 1

`f(x) = (1)/(3)x - 4`

Explanation:

Determine the slope value, m, and the y-intercept value, b.

Find the slope, m using two points, (0, -4) and (3, -3).

`slope (m) = (y_2 - y_1)/(x_2 - x_1) = (-3 -(-4))/(3 - 0) = (1)/(3)`

m = ⅓.

The y-intercept (b) = -4 (this is where the y-axis is intercepted by the line)

To get the linear function equation, substitute m = ⅓, and b = -4 into
`f(x) = mx + b`

The linear function equation would be:

✔️
`f(x) = (1)/(3)x + (-4)`

`f(x) = (1)/(3)x - 4`